Find the LCM of 490, 749, 788, 264, 828 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 490, 749, 788, 264, 828. So, keep reading to learn more.
Given numbers are 490,749,788,264,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,749,788,264,828 is 94073890680.
Find LCM of 490,749,788,264,828 with Prime Factorization
2 | 490, 749, 788, 264, 828 |
2 | 245, 749, 394, 132, 414 |
3 | 245, 749, 197, 66, 207 |
7 | 245, 749, 197, 22, 69 |
35, 107, 197, 22, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 35 x 107 x 197 x 22 x 69 = 94073890680
Therefore, the lowest common multiple of 490,749,788,264,828 is 94073890680.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
490 x 749 x 788 x 264 x 828 = 63217654536960
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
749 : 1, 7, 107, 749
788 : 1, 2, 4, 197, 394, 788
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,749,788,264,828, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
749:7x 107
788:2x 2x 197
264:2x 2x 2x 3x 11
828:2x 2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 63217654536960/(1x672)
LCM = 63217654536960/672
LCM = 94073890680
Thus, we can understand that the LCM of 490,749,788,264,828 is 94073890680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 490, 749, 788, 264, 828?
Answer: LCM of 490, 749, 788, 264, 828 is 94073890680.
2. How to calculate the LCM of 490, 749, 788, 264, 828?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 490, 749, 788, 264, 828.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.